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2 years ago

Use the drawing tool(s) to form the correct answer on the provided graph.

Mathematics

1 answer:

AlekseyPX2 years ago

5 0

The solutions to the system of equations are (-2,-6) and (4,6)

<h3>How to determine the system of equations?</h3>

We have:

-2x + y = -2

$y = -\frac12x^2 + 3x + 2$

Next, we plot the graph of both functions.

From the attached graph, the equations intersect at (-2,-6) and (4,6)

Hence, the solutions to the system of equations are (-2,-6) and (4,6)

Read more about system of equations at:

brainly.com/question/21405634

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19. The marked price of a certain handbag is $400. After two successive

yKpoI14uk [10]

Answer:

x = 25%

Step-by-step explanation:

At the first sale of 25% off, the handbag price dropped from $400 to $300. This is because (400 x 0.25 = 100) and (400 - 100 = 300) Therefore, the selling price of the handbag after one sale was $300.

At the second sale of 25% off, the handbag price dropped from $300 to $225. This is because (300 x 0.25 = 75) and (300 - 75 = 225). Therefore, the selling price of the handbag after two sales is $225.

The value of x remained the same for both sales. x = 25% or 0.25

5 0

3 years ago

Find an equation of the sphere with center (4, −12, 8) and radius 10.

Lorico [155]

Answer:

Step-by-step explanation:

To find an equation of the sphere with center (4, −12, 8) and radius 10

$(x-4)^2+(y+12)^2+(z-8)^2 = 100$

intersection with xy-plane

Put z=0

$(x-4)^2+(y+12)^2+(0-8)^2 = 100$

$(x-4)^2+(y+12)^2 = 36$

(A circle with centre at (4,-12) and radius 6)

intersection with xz-plane

Put y =0

$(x-4)^2+(0+12)^2+(z-8)^2 = 100$

$(x-4)^2+(z-8)^2 = -44$

Sum of squares cannot be positive, so DNE

intersection with yz-plane

Put x=0

$(0-4)^2+(y+12)^2+(z-8)^2 = 100$

$(y+12)^2+(z-8)^2 = 84$

A circle in YZ plane with centre at y =-12 and z =8 and radius square root of 84

5 0

3 years ago

A ten-inch candle is being burned at both ends. one end burns at the rate of one inch per hour; the other end, one-and-a-half in

Sergio [31]

First keep in mind that the center is 5 inches...let L and R be the left and right positions of the two flames...

L=h and R=10-1.5h where h is in hours....

The two flames meet when L=R so we can say:

h=10-1.5h add 1.5h to both sides

2.5h=10 divide both sides by 2.5

h=4

So the flames will meet in five hours, using either original equation we can find this position, I'll use L=h..

L=4

So the position of the flames is 4" from the end. The questions ask how far this point is from the center so:

5-4=1"

So the flames meet 1 inch from the center.

4 0

4 years ago

You are saving money for your first car. You have $2000 in your account. You can deposit $100 every week. You want at least $500

lisabon 2012 [21]

Answer:

5000 ≤ 2,000 - 100x

Step-by-step explanation:

You already have 2,000 saved up. You can deposit 100 every week.

The equation would go:

5000 ≤ 2,000 - 100x

5 0

3 years ago

If you subtract 12<br> from my number and<br> multiply the difference by -3,<br> the result is -54.

worty [1.4K]

Answer:

the answer is 30

Step-by-step explanation:

Let the number be x

- 3 (x - 12) = - 54

-3x + 36 = -54

-3x = -54 - 36

-3x = -90

x = -90/-3

x = 30

4 0

3 years ago